Real Madrid Club de Fútbol (or Real Madrid) is the famous team and rival of FC Barcelona in "El Clasico" from the Spanish Liga. It first appeared in Road to 2002 manga and was the main team antagonist in the Overseas Fierce Fights - La Liga arc.
Battle of World Youth saga (epilogue): White collared shirt with purple collar and purple trim on the sleeves, purple shorts and white shorts. The sponsors are Teka and Kelme. This uniform was used by Real Madrid in the 1997 season in real life.
Road to 2002/Overseas Fierce Fights saga: White collared shirt with three black stripes on sleeves, white shorts with three black stripes and white socks The sponsor is Adidas.This uniform was also used in Golden-23 and Kaigai Gekito Hen in Liga. This uniform was used in the 2001 and 2002 seasons by Real Madrid in real life.
2001 anime (Rivaul's flashback): white shirt with grey collar, three grey stripes on sleeves and grey shoulder stripes, white shorts with three grey stripes and white socks. The uniform seems based on the uniform worn by Real Madrid in the 1998 season, albeit with grey replacing navy blue due to authoral rights.
It is unknown which name was given to Real Madrid in the 2001 anime, as Blueno was the only player who appeared, during Rivaul's flashback.